Representation Type of Commutative Noetherian Rings III
Title | Representation Type of Commutative Noetherian Rings III PDF eBook |
Author | Lee Klingler |
Publisher | American Mathematical Soc. |
Pages | 170 |
Release | 2005 |
Genre | Mathematics |
ISBN | 9781470404338 |
This memoir completes the series of papers beginning with [KL1,KL2], showing that, for a commutative noetherian ring $\Lambda$, either the category of $\Lambda$-modules of finite length has wild representation type or else we can describe the category of finitely generated $\Lambda$-modules, including their direct-sum relations and local-global relations. (There is a possible exception to our results, involving characteristic 2.)
Representation Type of Commutative Noetherian Rings III: Global Wildness and Tameness
Title | Representation Type of Commutative Noetherian Rings III: Global Wildness and Tameness PDF eBook |
Author | Lee Klingler |
Publisher | American Mathematical Soc. |
Pages | 187 |
Release | 2005 |
Genre | Mathematics |
ISBN | 0821837389 |
This memoir completes the series of papers beginning with [KL1,KL2], showing that, for a commutative noetherian ring $\Lambda$, either the category of $\Lambda$-modules of finite length has wild representation type or else we can describe the category of finitely generated $\Lambda$-modules, including their direct-sum relations and local-global relations. (There is a possible exception to our results, involving characteristic 2.)
Algebras, Rings And Their Representations - Proceedings Of The International Conference On Algebras, Modules And Rings
Title | Algebras, Rings And Their Representations - Proceedings Of The International Conference On Algebras, Modules And Rings PDF eBook |
Author | Alberto Facchini |
Publisher | World Scientific |
Pages | 403 |
Release | 2006-02-20 |
Genre | Mathematics |
ISBN | 9814478970 |
Surveying the most influential developments in the field, this proceedings reviews the latest research on algebras and their representations, commutative and non-commutative rings, modules, conformal algebras, and torsion theories.The volume collects stimulating discussions from world-renowned names including Tsit-Yuen Lam, Larry Levy, Barbara Osofsky, and Patrick Smith.
Abelian Groups, Rings, Modules, and Homological Algebra
Title | Abelian Groups, Rings, Modules, and Homological Algebra PDF eBook |
Author | Pat Goeters |
Publisher | CRC Press |
Pages | 354 |
Release | 2016-04-19 |
Genre | Mathematics |
ISBN | 142001076X |
About the book In honor of Edgar Enochs and his venerable contributions to a broad range of topics in Algebra, top researchers from around the world gathered at Auburn University to report on their latest work and exchange ideas on some of today's foremost research topics. This carefully edited volume presents the refereed papers of the par
Multiplicative Ideal Theory in Commutative Algebra
Title | Multiplicative Ideal Theory in Commutative Algebra PDF eBook |
Author | James W. Brewer |
Publisher | Springer Science & Business Media |
Pages | 437 |
Release | 2006-12-15 |
Genre | Mathematics |
ISBN | 0387367179 |
This volume, a tribute to the work of Robert Gilmer, consists of twenty-four articles authored by his most prominent students and followers. These articles combine surveys of past work by Gilmer and others, recent results which have never before seen print, open problems, and extensive bibliographies. The entire collection provides an in-depth overview of the topics of research in a significant and large area of commutative algebra.
Commutative Algebra
Title | Commutative Algebra PDF eBook |
Author | Marco Fontana |
Publisher | Springer Science & Business Media |
Pages | 491 |
Release | 2010-09-29 |
Genre | Mathematics |
ISBN | 144196990X |
Commutative algebra is a rapidly growing subject that is developing in many different directions. This volume presents several of the most recent results from various areas related to both Noetherian and non-Noetherian commutative algebra. This volume contains a collection of invited survey articles by some of the leading experts in the field. The authors of these chapters have been carefully selected for their important contributions to an area of commutative-algebraic research. Some topics presented in the volume include: generalizations of cyclic modules, zero divisor graphs, class semigroups, forcing algebras, syzygy bundles, tight closure, Gorenstein dimensions, tensor products of algebras over fields, as well as many others. This book is intended for researchers and graduate students interested in studying the many topics related to commutative algebra.
Invariant Means and Finite Representation Theory of $C^*$-Algebras
Title | Invariant Means and Finite Representation Theory of $C^*$-Algebras PDF eBook |
Author | Nathanial Patrick Brown |
Publisher | American Mathematical Soc. |
Pages | 122 |
Release | 2006 |
Genre | Mathematics |
ISBN | 0821839160 |
Various subsets of the tracial state space of a unital C$*$-algebra are studied. The largest of these subsets has a natural interpretation as the space of invariant means. II$ 1$-factor representations of a class of C$*$-algebras considered by Sorin Popa are also studied. These algebras are shown to have an unexpected variety of II$ 1$-factor representations. In addition to developing some general theory we also show that these ideas are related to numerous other problems inoperator algebras.